Weighted Rees matrix semigroup algebras and their applications

被引:0
作者
M. Soroushmehr
机构
[1] University of Isfahan,Department of Mathematics
来源
Archiv der Mathematik | 2013年 / 100卷
关键词
Primary 46H05; Secondary 43A07; -Munn algebra; Amenability; Weight; Semigroup; Weighted semigroup algebras;
D O I
暂无
中图分类号
学科分类号
摘要
In this work, we will describe the weighted semigroup algebra ℓ1(S, ω), where S is a regular Rees matrix semigroup and ω ≥  1. Then as an application, we investigate the amenability of the semigroup algebra ℓ1(S, ω) and its second dual for an arbitrary semigroup S.
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页码:139 / 147
页数:8
相关论文
共 15 条
  • [1] Blackmore T. D.(1997)Weak amenability of discrete semigroup algebras Semigroup Forum.. 55 196-205
  • [2] Dales H. G.(2005)The second duals of Beurling algebras, Memoirs American Math Soc. 177 1-191
  • [3] Lau A.T.-M.(2010)Banach algebras on semigroups and their compactifications, Mem Amer. Math. Soc. 205 1-165
  • [4] Dales H.G.(1990)Amenability for discrete convolution semigroup algebras, Math Scandinavica. 66 141-146
  • [5] Lau A.T.-M.(1999)Banach algebra structure and amenability of a class of matrix algebras with applications, J Functional Analysis, 161 364-383
  • [6] Strauss D.(2000)Duals and topological center of a class of matrix algebras with applications, Proc American Math. Soc. 128 3493-3503
  • [7] Duncan J.(2004)2-weak amenability of a Beurling algebra and amenability of its second dual, Int J. Pure Appl. Math. 16 75-86
  • [8] Paterson A.L.T.(1997)Amenability and the second dual of a Banach algebra Studia Mathematica 125 75-81
  • [9] Esslamzadeh G. H.(1990)Amenability of weighted convolution algebras on locally compact groups, Trans Amer. Math. Soc. 319 765-775
  • [10] Esslamzadeh G. H.(2012)Ultrapowers of Aust. Math. Soc. 86 424-429